a. Construct and interpret a scatterplot for the data above. (Label: the x and y axis, title, units) b. Calculate and Interpret the linear correlation coefficient c. Find the equation of the regression line
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
The data show the crash fatality rate when there are certain metric tons of lemon imports.
|
Lemon Imports |
230 |
265 |
358 |
480 |
530 |
|
Crash Fatality Rate |
14.9 |
14.7 |
14.4 |
14.3 |
13.0 |
(Round to the nearest ten thousandths (4 decimal places)
a. Construct and interpret a scatterplot for the data above. (Label: the x and y axis, title, units)
b. Calculate and Interpret the linear
c. Find the equation of the regression line
d. Graph and label the equation of the regression line on the scatterplot from (a)
e. Find the best predicted crash fatality rate for a year in which there are 500 metric tons of lemon imports.
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